a) Using a 0.05 level of significance, do students perform differently on the three areas of the SAT? State the null and alternative hypotheses. Ho Headingstathematics writing H.: Not all the population means are equal. Ho: HReading Hathematics writing H₂ Heading" Hotathematics Pwriting Ho Headingstathematics writing Headingstathematics writing OH: At least two of the population means are equal. H: At least two of the population means are different. OH: Not all the population means are equal. H₂ Heading Hstathematics Pwriting Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) D-value- State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. O Do not reject Ho. There is sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. O Reject Ho. There is not sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. O Do not reject H. There is not sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. b) Which area of the test seems to give the students the most trouble? Explain. The mean test scores for the three sections are for critical reading, [ for mathematics, and for writing. Because the --Select-- section has the lowest average score, this section appears to give the students the most trouble.
a) Using a 0.05 level of significance, do students perform differently on the three areas of the SAT? State the null and alternative hypotheses. Ho Headingstathematics writing H.: Not all the population means are equal. Ho: HReading Hathematics writing H₂ Heading" Hotathematics Pwriting Ho Headingstathematics writing Headingstathematics writing OH: At least two of the population means are equal. H: At least two of the population means are different. OH: Not all the population means are equal. H₂ Heading Hstathematics Pwriting Find the value of the test statistic. (Round your answer to two decimal places.) Find the p-value. (Round your answer to three decimal places.) D-value- State your conclusion. O Reject Ho. There is sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. O Do not reject Ho. There is sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. O Reject Ho. There is not sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. O Do not reject H. There is not sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal. b) Which area of the test seems to give the students the most trouble? Explain. The mean test scores for the three sections are for critical reading, [ for mathematics, and for writing. Because the --Select-- section has the lowest average score, this section appears to give the students the most trouble.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:The Scholastic Aptitude Test (SAT) contains three areas: critical reading, mathematics, and writing. Each area is scored on an 800-point scale. A sample of SAT scores for six students follows.
Critical
Reading
Student
1
2
3
4
5
6
528
=
592
465
561
436
430
Mathematics Writing
534
=
590
464
566
478
458
O Ho: MReading # Mathematics # Writing
H₂: Reading =Mathematics Writing
528
Ho: MReading Mathematics Writing
Ha: "Reading # Mathematics * Writing
588
445
(a) Using a 0.05 level of significance, do students perform differently on the three areas of the SAT?
State the null and alternative hypotheses.
O Ho: Reading Mathematics writing
H₂:
Not all the population means are equal.
553
430
420
O Ho: At least two of the population means are equal.
H.: At least two of the population means are different.
O H.: Not all the population means are equal.
Ha: Reading Mathematics Writing
Find the value of the test statistic. (Round your answer to two decimal places.)
Find the p-value. (Round your answer to three decimal places.)
p-value=
State your conclusion.
O Reject Ho. There is sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal.
O Do not reject Ho. There is sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal.
O Reject Ho. There is not sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal.
O Do not reject H. There is not sufficient evidence to conclude that the mean scores for the three parts of the SAT are not all equal.
(b) Which area of the test seems to give the students the most trouble? Explain.
The mean test scores for the three sections are
for critical reading,
for mathematics, and
for writing. Because the ---Select---
✓section has the lowest average score, this section appears to give the students the most trouble.
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